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Popular Calculus >

integral from 0 to 3 of (8-2x)

Solution

\int_{0}^{3} (8 - 2 x) d x

Solution

15

Solution steps

\int_{0}^{3} 8 - 2 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{3} 8 d x - \int_{0}^{3} 2 x d x

\int_{0}^{3} 8 d x = 24

\int_{0}^{3} 2 x d x = 9

= 24 - 9

Simplify

= 15

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (8-2x) ?
The integral from 0 to 3 of (8-2x) is 15